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Automorphic Forms on GL(2)

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Automorphic Forms on GL(2) is a book by H. Jacquet and Robert Langlands (1970) where they rewrite Hecke's theory of modular forms in terms of the representation theory of GL(2) over local fields and adele rings of global fields and prove the Jacquet–Langlands correspondence. A second volume by Jacquet (1972) gives an interpretation of some results by Rankin and Selberg in terms of the representation theory of GL(2) × GL(2).

References

  • Godement, R. (1970), Notes on Jacquet–Langlands' theory, Institute for Advanced Study
  • Jacquet, H; Langlands, R. P. (1970), Automorphic forms on GL(2), Lecture Notes in Mathematics, vol. 114, Berlin-New York: Springer-Verlag, doi:10.1007/BFb0058988, ISBN 978-3540049036, MR 0401654
  • Jacquet, Hervé (1972), Automorphic forms on GL(2). Part II., Lecture Notes in Mathematics, vol. 278, Berlin-New York: Springer-Verlag, doi:10.1007/BFb0058503, ISBN 978-3-540-05931-8, MR 0562503
  • Langlands, R. (1971), "Automorphic forms on GL(2)", Actes du Congrès International des Mathématiciens (Nice, 1970) (PDF), vol. 2, Paris: Gauthier-Villars, pp. 327–329, MR 0562505
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